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Finding the Fourth Proportional to 300.27, 448.24 and 277.41

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Solution

The fourth proportional to 300.27, 448.24 and 277.41 is: 414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.27 : 448.24 = 277.41 : x
  2. Step 2: Convert to fraction form
    300.27/448.24 = 277.41/x
  3. Step 3: Cross multiply
    300.27x = 448.24 × 277.41
  4. Step 4: Simplify right side
    300.27x = 124,345.56
  5. Step 5: Solve for x
    x = 124,345.56/300.27
  6. Step 6: Final answer
    x = 414.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.